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Topologies of two, three and four time-delay-coupled chaotic semiconductor lasers are experimentally and theoretically found to show new types of synchronization. Shifted zero-lag synchronization is observed for two lasers separated by long…

Chaotic Dynamics · Physics 2011-11-29 Y. Aviad , I. Reidler , M. Zigzag , M. Rosenbluh , I. Kanter

We study the electronic band structure for a model one-dimensional periodic potential in the presence of a spacially homogeneous laser field. The statistical properties of the energy bands depend on the coupling between the crystal and the…

Condensed Matter · Physics 2008-02-03 H. S. Brandi , Belita Koiller , Eduardo R. Mucciolo

Dissipative solitons are localized solutions in non-integrable and non-conservative nonlinear system, due to a balance of nonlinearity, dispersion, filtering, and loss/gain. Different from conventional soliton, they exhibit extremely…

Chaos is a phenomenon that occurs in many aspects of contemporary science. In classical dynamics, chaos is defined as a hypersensitivity to initial conditions. The presence of chaos is often unwanted, as it introduces unpredictability,…

Optics · Physics 2012-09-25 C. Liu , A. Di Falco , D. Molinari , Y. Khan , B. S. Ooi , T. F. Krauss , A. Fratalocchi

Two mutually coupled chaotic diode lasers exhibit stable isochronal synchronization in the presence of self feedback. When the mutual communication between the lasers is discontinued by a shutter and the two uncoupled lasers are subject to…

This paper shows that with mechanistic primary budget rules and with some simple assumptions on interest rates the well-known debt dynamics equation transforms into the infamous logistic map. The logistic map has very peculiar and rich…

Chaotic Dynamics · Physics 2014-02-11 Jussi Ilmari Lindgren

Physics of chaos in a localized phase-space region is exploited to produce a longitudinally uniformly distributed beam. Theoretical study and %numerical simulations are used to study its origin and applicability in phase-space dilution of…

Accelerator Physics · Physics 2015-03-18 S. Y. Lee , K. Y. Ng

Dynamical chaos is a term that encompasses a wide range of nonlinear phenomena such as turbulence, neuronal avalanches, weather patterns, and many others. However, despite much work in the field of chaos, its fundamental physical origin…

Chaotic Dynamics · Physics 2026-05-05 Igor V. Ovchinnikov , Massimiliano Di Ventra

We have found stable chaotic solutions for optomechanical systems coupled with a Two-Level System or qubit. In this system methods have been found which can be used to Tune in and out of Chaos as well as various n-period motions. This…

Quantum Physics · Physics 2021-03-02 Manik Kapil , Amarendra K. Sarma

High-order harmonic generation via single-slit diffraction of relativistic laser pulses is investigated. Using fully kinetic 2D and 3D particle-in-cell simulations, we show that interesting optical phenomena emerge, including the generation…

Plasma Physics · Physics 2025-05-07 Longqing Yi

A new type of deterministic chaos for a system described by iterative two-dimensional maps is reported. The series being generated by the original map has an average upward trend while the first difference, which is the series of changes…

Chaotic Dynamics · Physics 2010-07-22 Taisei Kaizoji

Spatiotemporal chaos in the form of defect-mediated turbulence is known for oscillators coupled by diffusion. Here we explore the same conditions that produce defect turbulence, in an array of oscillators that are coupled through the…

Chaotic Dynamics · Physics 2018-09-27 Igal Berenstein

We developed a powerful computational approach to elaborate on onset mechanisms of deterministic chaos due to complex homoclinic bifurcations in diverse systems. Its core is the reduction of phase space dynamics to symbolic binary…

Chaotic Dynamics · Physics 2018-11-07 Krishna Pusuluri , Andrey L Shilnikov

A standard drift-diffusion model of space charge wave propagation in semiconductors has been studied numerically and analytically under dc voltage bias. For sufficiently long samples, appropriate contact resistivity and applied voltage -…

Condensed Matter · Physics 2009-10-31 I. R. Cantalapiedra , M. J. Bergmann , L. L. Bonilla , S. W. Teitsworth

We study the chaotic behavior of multidimensional Hamiltonian systems in the presence of nonlinearity and disorder. It is known that any localized initial excitation in a large enough linear disordered system spreads for a finite amount of…

Chaotic Dynamics · Physics 2021-05-11 Bertin Many Manda

The basic physics of lasers is characterized by a second-order continuous phase transition at the critical lasing threshold. Nevertheless, laser bistability with abrupt transitions has been reported in some laser systems, but its underlying…

Based upon our previous works (Eur.Phys.J.D 6, 319(1999); Chin.Phys.Lett. 18, 236(2001)), we develop a classical approach to calculate the high-order harmonic generation of the laser driven atoms and molecules. The Coulomb singularities in…

Atomic Physics · Physics 2007-05-23 Chaohong Lee , Yiwu Duan , Wing-Ki Liu , Jian-Min Yuan , Lei Shi , Xiwen Zhu , Kelin Gao

We present a novel experimental technique that can differentiate unequivocally between chaotic light and coherent light with amplitude fluctuations, and thus permits to characterize unambiguously the output of a laser. This technique…

We demonstrate experimentally how semiconductor lasers subjected to double optical feedback change the statistics of their chaotic spiking dynamics from Gaussian to long-tail Power Law distributions associated to the emergency of bursting.…

Recently, the author and collaborators have developed a systematic program for proving the existence of homoclinic orbits in partial differential equations. Two typical forms of homoclinic orbits thus obtained are: (1). transversal…

Analysis of PDEs · Mathematics 2007-05-23 Yanguang Charles Li